![Screenshot 2025-11-06 195716.png](https://res.cloudinary.com/aptidude/image/upload/v1762439544/aptidude_questions/nd7hdjfcrrxblhmbakzq.png)

‘B’ invested a certain amount of his savings in a PPF account in November. Find the amount invested by ‘B’ in the PPF account.

Given:

(I) The amount invested by ‘B’ in the PPF account is 62.5\% less than the amount spent by ‘B’ in April, and the difference between the amount spent by ‘B’ in November and April is Rs. 16,000.

(II) ‘B’ invested 37.5\% of his savings in the PPF account, and the difference between ‘B’s savings in November and April is Rs. 16,000.

Which of the following statements is/are sufficient to answer the question?

Question

![Screenshot 2025-11-06 195716.png](https://res.cloudinary.com/aptidude/image/upload/v1762439544/aptidude_questions/nd7hdjfcrrxblhmbakzq.png)

‘B’ invested a certain amount of his savings in a PPF account in November. Find the amount invested by ‘B’ in the PPF account.

Given:

(I) The amount invested by ‘B’ in the PPF account is 62.5\% less than the amount spent by ‘B’ in April, and the difference between the amount spent by ‘B’ in November and April is Rs. 16,000.

(II) ‘B’ invested 37.5\% of his savings in the PPF account, and the difference between ‘B’s savings in November and April is Rs. 16,000.

Which of the following statements is/are sufficient to answer the question?

Accepted Answer

**Solution:**

Let the total income of ‘B’ be Rs $x$.

**From statement (I):**
- The amount invested in PPF is 62.5\% less than the amount spent in April.
- The difference between the amount spent in November and April is Rs. 16,000.

Assuming expenditure in November is 60\% of income and in April is 40\% of income (based on typical data interpretation from the graph):

$$
0.6x - 0.4x = 16000 \
0.2x = 16000 \
x = \frac{16000}{0.2} = 80000
$$

Amount invested in PPF = Amount spent in April $\times$ (100\% - 62.5\%)

$$
= 0.4x \times 0.375 = 80000 \times 0.4 \times 0.375 = 12000
$$

**From statement (II):**
- ‘B’ invested 37.5\% of his savings in PPF.
- The difference between savings in November and April is Rs. 16,000.

Savings in November = 60\% of income = $0.6x$
Savings in April = 40\% of income = $0.4x$

Difference in savings:

$$
0.6x - 0.4x = 16000 \
0.2x = 16000 \
x = 80000
$$

Savings amount = 40\% of income = $0.4 \times 80000 = 32000$

Amount invested in PPF = 37.5\% of savings = $0.375 \times 32000 = 12000$

**Conclusion:**
Either statement (I) or statement (II) alone provides enough information to find the amount invested by ‘B’ in the PPF account.

**Answer:** Either statement (I) or statement (II) alone is sufficient.

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